import sys
input = sys.stdin.readline
t = int(input())
for i in range(t):
  a,b,c = map(int,input().split())
  ans = 0
  x = min(a,c)
  ans += x*2 + 2*(b//2)
  b %= 2
  a -= x
  c -= x
  y = min(a,b)
  ans += y + c//2
  print(ans)